This weekend I am going to teach you all how to solve linear inequalities. Some of these inequalities contain absolute values. This lesson only contains linear inequalities with one variable. To solve these equations, you just have to use basic algebra. There are a few things that you need to know about inequalities.
Notes:
· If you divide or multiply by a negative number, you must reverse the sign
· > this sign means greater than
· < this sign means less than
· ≤ this sign means less than or equal to
· ≥ this sign means greater than or equal to
Example 1: 5x + 3 > 28
· You would subtract 3 from both sides, which would give you 5x > 25
· Then you would divide both sides by five
· Your final answer would be: x > 5
Example 2: 4 – 6x < 16
· You would subtract 4 from both sides, which would give you -6x < 12
· Then you would divide both sides by -6 and flip the sign
· Your final answer would be: x > -2
-Braxton
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